A composite figure is comprise of a semicircle, a hexagon, and a rectangle.

Mathematics

1 answer:

vladimir1956 [14]4 years ago

8 0

Answer:

A semicircle, a hexagon, and a rectangle

Step-by-step explanation:

A semicircle would need to remain a semicircle so the answer would have to include that, which eliminates the first and last options. Then, you would need to figure out what makes up a hexagon, and it can either be made up of 6 triangles or two trapeziods, or keep the hexagon, but not a pentagon, therefore eliminating the second option, and therefore you can decompose the figure in to a semicircle, a hexagon and a rectangle.

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A soft drink machine outputs a mean of 2323 ounces per cup. The machine's output is normally distributed with a standard deviati

viktelen [127]

Answer:

Area under the normal curve: 0.6915.

69.15% probability of putting less than 24 ounces in a cup.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 23, \sigma = 2$